While it's clear there are those who have blindly chosen to believe that a gender pay gap exists without any real proof, the example provided does highlight a dangerous consequence of an imaginary problem and unworkable principles being applied to "solve" said problem. Real gender and sex discrimination being exercised to combat fake gender and sex discrimination. And that helps no one.
It's clear to me that there are certain people who will always trust something is real, as long as the information comes from a source that they trust, and aligns with their confirmation biases. This is true no matter what side they are on, right or left. And these people can be counted on to defend the indefensible and imaginary, no matter what. And tell everyone else that they are the ones with the closed minds. And if that fails, start talking about man-made climate change.